{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:6BFUK6CO5POVW5ZRIRDF5A535D","short_pith_number":"pith:6BFUK6CO","canonical_record":{"source":{"id":"2505.00130","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.CO","submitted_at":"2025-04-30T18:58:20Z","cross_cats_sorted":[],"title_canon_sha256":"73e3178f90f87a091404378f9ed8bbeac19c6289f3d1e99cba0648d941cc19cb","abstract_canon_sha256":"30589fdf397519c29423c00590e6d6e6882707a2b3c6cf568f4f14f3b6051ba4"},"schema_version":"1.0"},"canonical_sha256":"f04b45784eebdd5b773144465e83bbe8d53c0a5019431fe9f95d999b5140a364","source":{"kind":"arxiv","id":"2505.00130","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.00130","created_at":"2026-07-05T10:56:42Z"},{"alias_kind":"arxiv_version","alias_value":"2505.00130v1","created_at":"2026-07-05T10:56:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.00130","created_at":"2026-07-05T10:56:42Z"},{"alias_kind":"pith_short_12","alias_value":"6BFUK6CO5POV","created_at":"2026-07-05T10:56:42Z"},{"alias_kind":"pith_short_16","alias_value":"6BFUK6CO5POVW5ZR","created_at":"2026-07-05T10:56:42Z"},{"alias_kind":"pith_short_8","alias_value":"6BFUK6CO","created_at":"2026-07-05T10:56:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:6BFUK6CO5POVW5ZRIRDF5A535D","target":"record","payload":{"canonical_record":{"source":{"id":"2505.00130","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.CO","submitted_at":"2025-04-30T18:58:20Z","cross_cats_sorted":[],"title_canon_sha256":"73e3178f90f87a091404378f9ed8bbeac19c6289f3d1e99cba0648d941cc19cb","abstract_canon_sha256":"30589fdf397519c29423c00590e6d6e6882707a2b3c6cf568f4f14f3b6051ba4"},"schema_version":"1.0"},"canonical_sha256":"f04b45784eebdd5b773144465e83bbe8d53c0a5019431fe9f95d999b5140a364","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:56:42.143399Z","signature_b64":"yghOahEK56aHuEvsHNm+0dRT/jWBVhlz3OWdpjkO5EVQkrDyinQeyihqbwbz3zcIGFqV4Ungc6Lh5dkYCDAgDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f04b45784eebdd5b773144465e83bbe8d53c0a5019431fe9f95d999b5140a364","last_reissued_at":"2026-07-05T10:56:42.142946Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:56:42.142946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.00130","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:56:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R2Qmip5W2MaOnjDDfpmkkXKhNSP5oo06kklGS4dyaf2sgBCRQdOsAt2RpP1NXkKN1aJGmQcvYwJcc803adxnDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T14:33:31.269740Z"},"content_sha256":"12aa15924d7795c0ed3ec4f45f5c8b3fb43847368452a6e1e24ba36e472ecf82","schema_version":"1.0","event_id":"sha256:12aa15924d7795c0ed3ec4f45f5c8b3fb43847368452a6e1e24ba36e472ecf82"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:6BFUK6CO5POVW5ZRIRDF5A535D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pancyclicity in hypergraphs with large uniformity","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Isaiah Hollars, Ruth Luo, Teegan Bailey, Yupei Li","submitted_at":"2025-04-30T18:58:20Z","abstract_excerpt":"A Berge cycle of length $\\ell$ in a hypergraph $\\mathcal{H}$ is a sequence of alternating vertices and edges $v_0e_0v_1e_1...v_\\ell e_\\ell v_0$ such that $\\{v_i,v_{i+1}\\}\\subseteq e_i$ for all $i$, with indices taken modulo $\\ell$.\n  For $n$ sufficiently large and $r\\geq \\lfloor\\frac{n-1}{2}\\rfloor-1$ we prove exact minimum degree conditions for an $n$-vertex, $r$-uniform hypergraph to contain Berge cycles of every length between $2$ and $n$. In conjunction with previous work, this provides sharp Dirac-type conditions for pancyclicity in $r$-uniform hypergraphs for all $3\\leq r\\leq n$ when $n$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.00130","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.00130/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:56:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4Bq+8X2o28h+w8zHeeEB8PnKHsJINeunjWLiMZRBm0ADPqn0crlGd3wAvVLjeCQV0Mppu3SavX8l2EiFwOMeBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T14:33:31.270672Z"},"content_sha256":"4ae0b2de78970be222c2d1515e31d26364d7c8fb5a152494e2cbb1e70f0d81f5","schema_version":"1.0","event_id":"sha256:4ae0b2de78970be222c2d1515e31d26364d7c8fb5a152494e2cbb1e70f0d81f5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6BFUK6CO5POVW5ZRIRDF5A535D/bundle.json","state_url":"https://pith.science/pith/6BFUK6CO5POVW5ZRIRDF5A535D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6BFUK6CO5POVW5ZRIRDF5A535D/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-03T14:33:31Z","links":{"resolver":"https://pith.science/pith/6BFUK6CO5POVW5ZRIRDF5A535D","bundle":"https://pith.science/pith/6BFUK6CO5POVW5ZRIRDF5A535D/bundle.json","state":"https://pith.science/pith/6BFUK6CO5POVW5ZRIRDF5A535D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6BFUK6CO5POVW5ZRIRDF5A535D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:6BFUK6CO5POVW5ZRIRDF5A535D","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"30589fdf397519c29423c00590e6d6e6882707a2b3c6cf568f4f14f3b6051ba4","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.CO","submitted_at":"2025-04-30T18:58:20Z","title_canon_sha256":"73e3178f90f87a091404378f9ed8bbeac19c6289f3d1e99cba0648d941cc19cb"},"schema_version":"1.0","source":{"id":"2505.00130","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.00130","created_at":"2026-07-05T10:56:42Z"},{"alias_kind":"arxiv_version","alias_value":"2505.00130v1","created_at":"2026-07-05T10:56:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.00130","created_at":"2026-07-05T10:56:42Z"},{"alias_kind":"pith_short_12","alias_value":"6BFUK6CO5POV","created_at":"2026-07-05T10:56:42Z"},{"alias_kind":"pith_short_16","alias_value":"6BFUK6CO5POVW5ZR","created_at":"2026-07-05T10:56:42Z"},{"alias_kind":"pith_short_8","alias_value":"6BFUK6CO","created_at":"2026-07-05T10:56:42Z"}],"graph_snapshots":[{"event_id":"sha256:4ae0b2de78970be222c2d1515e31d26364d7c8fb5a152494e2cbb1e70f0d81f5","target":"graph","created_at":"2026-07-05T10:56:42Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2505.00130/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A Berge cycle of length $\\ell$ in a hypergraph $\\mathcal{H}$ is a sequence of alternating vertices and edges $v_0e_0v_1e_1...v_\\ell e_\\ell v_0$ such that $\\{v_i,v_{i+1}\\}\\subseteq e_i$ for all $i$, with indices taken modulo $\\ell$.\n  For $n$ sufficiently large and $r\\geq \\lfloor\\frac{n-1}{2}\\rfloor-1$ we prove exact minimum degree conditions for an $n$-vertex, $r$-uniform hypergraph to contain Berge cycles of every length between $2$ and $n$. In conjunction with previous work, this provides sharp Dirac-type conditions for pancyclicity in $r$-uniform hypergraphs for all $3\\leq r\\leq n$ when $n$","authors_text":"Isaiah Hollars, Ruth Luo, Teegan Bailey, Yupei Li","cross_cats":[],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.CO","submitted_at":"2025-04-30T18:58:20Z","title":"Pancyclicity in hypergraphs with large uniformity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.00130","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:12aa15924d7795c0ed3ec4f45f5c8b3fb43847368452a6e1e24ba36e472ecf82","target":"record","created_at":"2026-07-05T10:56:42Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"30589fdf397519c29423c00590e6d6e6882707a2b3c6cf568f4f14f3b6051ba4","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.CO","submitted_at":"2025-04-30T18:58:20Z","title_canon_sha256":"73e3178f90f87a091404378f9ed8bbeac19c6289f3d1e99cba0648d941cc19cb"},"schema_version":"1.0","source":{"id":"2505.00130","kind":"arxiv","version":1}},"canonical_sha256":"f04b45784eebdd5b773144465e83bbe8d53c0a5019431fe9f95d999b5140a364","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f04b45784eebdd5b773144465e83bbe8d53c0a5019431fe9f95d999b5140a364","first_computed_at":"2026-07-05T10:56:42.142946Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:56:42.142946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yghOahEK56aHuEvsHNm+0dRT/jWBVhlz3OWdpjkO5EVQkrDyinQeyihqbwbz3zcIGFqV4Ungc6Lh5dkYCDAgDg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:56:42.143399Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.00130","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:12aa15924d7795c0ed3ec4f45f5c8b3fb43847368452a6e1e24ba36e472ecf82","sha256:4ae0b2de78970be222c2d1515e31d26364d7c8fb5a152494e2cbb1e70f0d81f5"],"state_sha256":"ac5be1fe300cf4af202371e8ea58ad25c473e7feb8bb679e56608531397057e1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dn38t1FtF4d/aYH/HQhT0hmUut2L1cGc0GZ25BQHer23WQYjSyTuBmi4XSSIIwLFloms+Z/x8cpmnfYBnX41Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T14:33:31.277540Z","bundle_sha256":"0a2c6fe371db1ff4c5320525f41c95a1ac4ec4b8c426e87b028dc26ad95ca2b9"}}